Finding the Third Proportional to 35,478 and 53,955

Step by Step Solution

1. Step 1: Write the proportion equation
   35,478 : 53,955 = 53,955 : x
2. Step 2: Convert to fraction form
   35,478/53,955 = 53,955/x
3. Step 3: Cross multiply
   35,478x = 53,955 × 53,955
4. Step 4: Simplify right side
   35,478x = 2,911,142,025
5. Step 5: Solve for x
   x = 2,911,142,025/35,478
6. Step 6: Final answer
   x = 82,054.85